Landau Levels in the noncommutative $Ad{S}_2$

Abstract

We formulate the Landau problem in the context of the noncommutative analog of a surface of constant negative curvature, that is $Ad{S}_2$ surface, and obtain the spectrum and contrast the same with the Landau levels one finds in the case of the commutative $Ad{S}_2$ space.

19 pages, Latex, references and clarifications added including 2 figures

References in corpus (3)

• Two phases of the noncommutative quantum mechanics
• Quantum Mechanics on the Noncommutative Torus
• Orbital Magnetism of Two-Dimension Noncommutative Confined System

Cited by in corpus (14)

• Testing spatial noncommutativiy via the Aharonov-Bohm effect
• The HMW effect in Noncommutative Quantum Mechanics
• (Super)Oscillator on CP(N) and Constant Magnetic Field
• Phases in noncommutative quantum mechanics on (pseudo)sphere
• Landau Problem in Noncommutative Quantum Mechanics
• Quantum Oscillator on $\DC P^n$ in a constant magnetic field
• Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
• Chiral Bosons in Noncommutative Spacetime
• Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems
• Nonlinear Holomorphic Supersymmetry on Riemann Surfaces
• Constant magnetic field and 2d non-commutative inverted oscillator
• Noncommutative Electrodynamics from $SO(2,3{)}_{\star }$ Model of Noncommutative Gravity
• Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity